# Copyright (c) 2019-present, Facebook, Inc.
# All rights reserved.
#
# This source code is licensed under the license found in the
# LICENSE file in the root directory of this source tree.
#
def f_gold ( n ) :
    C = [ [ 0 for i in range ( n + 1 ) ] for j in range ( n + 1 ) ]
    for i in range ( 0 , n + 1 ) :
        for j in range ( 0 , min ( i , n ) + 1 ) :
            if ( j == 0 or j == i ) :
                C [ i ] [ j ] = 1
            else :
                C [ i ] [ j ] = ( C [ i - 1 ] [ j - 1 ] + C [ i - 1 ] [ j ] )
    sum = 0
    for i in range ( 0 , n + 1 ) :
        sum = sum + ( C [ n ] [ i ] * C [ n ] [ i ] )
    return sum


#TOFILL

if __name__ == '__main__':
    param = [
    (57,),
    (44,),
    (19,),
    (24,),
    (64,),
    (60,),
    (57,),
    (22,),
    (15,),
    (63,)
        ]
    n_success = 0
    for i, parameters_set in enumerate(param):
        if f_filled(*parameters_set) == f_gold(*parameters_set):
            n_success+=1
    print("#Results: %i, %i" % (n_success, len(param)))